Target Mathematics

3.114: Solve 3sin2(2x+π/4)=cos2(2x+π/4)3\sin^{2}(2x+\pi/4)=\cos^{2}(2x+\pi/4)

0606/12/O/N/22 — Question 4 · 5 marks

Solve the equation 3sin2(2x+π4)=cos2(2x+π4)3\,\mathrm{sin}^{2}\left(2x+\dfrac{\pi}{4}\right)=\mathrm{cos}^{2}\left(2x+\dfrac{\pi}{4}\right) for 0xπ0\leqslant x\leqslant\pi.
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